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Finding the Third Proportional to 4.98 and 7.83

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Solution

The third proportional to 4.98 and 7.83 is: 12.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.98 : 7.83 = 7.83 : x
  2. Step 2: Convert to fraction form
    4.98/7.83 = 7.83/x
  3. Step 3: Cross multiply
    4.98x = 7.83 × 7.83
  4. Step 4: Simplify right side
    4.98x = 61.33
  5. Step 5: Solve for x
    x = 61.33/4.98
  6. Step 6: Final answer
    x = 12.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.